Question Number 143031 by rs4089 last updated on 09/Jun/21 Answered by mnjuly1970 last updated on 09/Jun/21 $$\frac{\pi^{\mathrm{2}} }{\mathrm{6}}+{ln}^{\mathrm{2}} \left(\mathrm{2}\right)…. \\ $$ Answered by Dwaipayan Shikari…
Question Number 11956 by Mahmoud A.R last updated on 07/Apr/17 $${A}\:,\:\mathrm{2}{B}\:,\mathrm{3}{C}\:,\mathrm{4}{D}\: \\ $$$${are}\:{positive}\:{numbers}\:{forming}\:{a}\: \\ $$$${geometric}\:{series}\: \\ $$$${prov}\:{that}\:: \\ $$$$\left({A}\:+\:\mathrm{3}{C}\right)\:\left({B}\:+\:\mathrm{2}{D}\right)\:>\:\mathrm{2} \\ $$ Commented by ajfour last…
Question Number 143024 by Feruzbek last updated on 09/Jun/21 Answered by bramlexs22 last updated on 09/Jun/21 $$\left(\mathrm{1}\right)\Leftrightarrow\:\mathrm{49}−{x}^{\mathrm{2}} \:\leqslant\:\mathrm{24}\: \\ $$$$\Leftrightarrow\:\mathrm{25}\:−{x}^{\mathrm{2}} \leqslant\mathrm{0} \\ $$$$\Leftrightarrow\:\left({x}+\mathrm{5}\right)\left({x}−\mathrm{5}\right)\geqslant\mathrm{0} \\ $$$$\Leftrightarrow\:{x}\leqslant−\mathrm{5}\:\cup\:{x}\geqslant\mathrm{5}…
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Question Number 143027 by mathlove last updated on 09/Jun/21 Commented by Rasheed.Sindhi last updated on 09/Jun/21 $${x}+\frac{\mathrm{1}}{{x}}=−\mathrm{1}\Rightarrow{x}=\omega,\omega^{\mathrm{2}} \\ $$$${When}\:{x}=\omega \\ $$$${x}^{\mathrm{123456789}} +\frac{\mathrm{1}}{{x}^{\mathrm{123456789}} } \\ $$$$\:\:\:\:\:=\omega^{\mathrm{123456789}}…
Question Number 77483 by aliesam last updated on 06/Jan/20 $${solve}\: \\ $$$${y}'\:{cos}\left({x}\right)\:+\frac{\mathrm{1}}{\mathrm{2}}\:{y}\:{sin}\left({x}\right)\:=\:{e}^{{x}} \:\sqrt{{sin}\left({x}\right)}\:\: \\ $$ Commented by mathmax by abdo last updated on 06/Jan/20 $$\left.\left({he}\right)\rightarrow{cosx}\right){y}^{'}…
Question Number 143018 by aupo14 last updated on 08/Jun/21 Answered by Dwaipayan Shikari last updated on 08/Jun/21 $$\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} \:\:\:\:\:\:\:\:{n}\:{starts}\:{from}\:\mathrm{1} \\ $$ Terms of Service Privacy…
Question Number 77481 by TawaTawa last updated on 06/Jan/20 Answered by mr W last updated on 06/Jan/20 Commented by mr W last updated on 06/Jan/20…
Question Number 143013 by Study last updated on 08/Jun/21 $${li}\underset{{x}\rightarrow\infty} {{m}}\frac{\sqrt[{\mathrm{3}}]{{x}+\mathrm{1}}}{{x}+\mathrm{1}}=? \\ $$ Commented by Study last updated on 08/Jun/21 $${what}\:{is}\:{the}\:{practice}? \\ $$ Commented by…
Question Number 143012 by Study last updated on 08/Jun/21 $${li}\underset{\alpha\rightarrow\infty} {{m}}\frac{{e}^{{x}} }{\alpha^{\mathrm{60}!} }=? \\ $$ Commented by Study last updated on 08/Jun/21 $${is}\:{the}\:{e}^{{x}} \:{number}? \\…